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Solve the inequality 4x^2​>5x-1

We first rearrange the inequality to obtain 4x 2 -5x+1>0 Initially we approach this as if it were 4x 2 -5x+1=y, looking for y=0 We then look for solutions, the most general way is to use the quadratic for...
CL
Answered by Christopher L. • Maths tutor
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How do I plot y=x^2-1?

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have. Here are the steps: 1) Let x=0; find whe...
LP
Answered by Laura P. • Maths tutor
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A curve is described by the equation x^3 - 4y^2 = 12xy. a) Find the points on the curve where x = -8. b) Find the gradient at these points.

a) The first part of this question is asking us to find points, (x,y), such that x = -8. By taking the equation and substituting in x = -8, we should find values, y, such that the points given are (-8,y). (-...
BC
Answered by Ben C. • Maths tutor
16773 Views

What are the roots of 3x^2 + 13x + 4 ?

To find the roots, we solve the equation 3 x 2 + 13x + 4 = 0. We could try factorising the equation, which gives us (3x + 1)(x + 4) = 0 So the roots are x = -1/3 and x = -4. Alternatively, we could use the q...
NB
Answered by Nicholas B. • Maths tutor
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How do I sketch the graph y = (x^2 + 4*x + 2)/(3*x + 1)

This is an example of a rational function. So to sketch it, we need to know three things: 1) where it crosses the x and y axis 2) Where its turning points are, if it has any 3) Where its asymptotes are, if i...
AW
Answered by Alexander W. • Maths tutor
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